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Simplifying 4(2x + -1) + 10(x + 1) = 14 Reorder the terms: 4(-1 + 2x) + 10(x + 1) = 14 (-1 * 4 + 2x * 4) + 10(x + 1) = 14 (-4 + 8x) + 10(x + 1) = 14 Reorder the terms: -4 + 8x + 10(1 + x) = 14 -4 + 8x + (1 * 10 + x * 10) = 14 -4 + 8x + (10 + 10x) = 14 Reorder the terms: -4 + 10 + 8x + 10x = 14 Combine like terms: -4 + 10 = 6 6 + 8x + 10x = 14 Combine like terms: 8x + 10x = 18x 6 + 18x = 14 Solving 6 + 18x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 18x = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 18x = 14 + -6 18x = 14 + -6 Combine like terms: 14 + -6 = 8 18x = 8 Divide each side by '18'. x = 0.4444444444 Simplifying x = 0.4444444444
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